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Finding the Fourth Proportional to 516,780.64, 713,216.40 and 287,360.80

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Solution

The fourth proportional to 516,780.64, 713,216.40 and 287,360.80 is: 396,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,780.64 : 713,216.40 = 287,360.80 : x
  2. Step 2: Convert to fraction form
    516,780.64/713,216.40 = 287,360.80/x
  3. Step 3: Cross multiply
    516,780.64x = 713,216.40 × 287,360.80
  4. Step 4: Simplify right side
    516,780.64x = 204,950,435,277.12
  5. Step 5: Solve for x
    x = 204,950,435,277.12/516,780.64
  6. Step 6: Final answer
    x = 396,590.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.